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Jiang, YG; Liu, JZ; He, S; Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
Near integrability of kink lattice with higher order interactions
发表期刊CHINESE PHYSICS C
语种英语
关键词Integrable System Soliton Toda Lattice
摘要We make use of Manton's analytical method to investigate the force between kinks and anti-kinks at large distances in 1+1 dimensional field theory. The related potential has infinite order corrections of exponential pattern, and the coefficients for each order are determined. These coefficients can also be obtained by solving the equation of the fluctuations around the vacuum. At the lowest order, the kink lattice represents the Toda lattice. With higher order correction terms, the kink lattice can represent one kind of generic Toda lattice. With only two sites, the kink lattice is classically integrable. If the number of sites of the lattice is larger than two, the kink lattice is not integrable but is a near integrable system. We make use of Flaschka's variables to study the Lax pair of the kink lattice. These Flaschka's variables have interesting algebraic relations and non-integrability can be manifested. We also discuss the higher Hamiltonians for the deformed open Toda lattice, which has a similar result to the ordinary deformed Toda.
2017
卷号41期号:11页码:113107
学科领域Physics
DOIhttp://dx.doi.org/10.1088/1674-1137/41/11/113107
项目资助者Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21940
专题理论物理所科研产出_SCI论文
通讯作者Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
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Jiang, YG,Liu, JZ,He, S,et al. Near integrability of kink lattice with higher order interactions[J]. CHINESE PHYSICS C,2017,41(11):113107.
APA Jiang, YG,Liu, JZ,He, S,Jiang, YG ,&Jiang, YG .(2017).Near integrability of kink lattice with higher order interactions.CHINESE PHYSICS C,41(11),113107.
MLA Jiang, YG,et al."Near integrability of kink lattice with higher order interactions".CHINESE PHYSICS C 41.11(2017):113107.
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